Inverse Heat Transfer Problems

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Inverse Heat Transfer Problems

Author : Oleg M. Alifanov
Publisher : Springer Science & Business Media
ISBN 13 : 3642764363
Total Pages : 360 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Inverse Heat Transfer Problems by : Oleg M. Alifanov

Download or read book Inverse Heat Transfer Problems written by Oleg M. Alifanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph presents a systematic treatment of the theory of the propagation of transient electromagnetic fields (such as optical pulses) through dielectric media which exhibit both dispersion a.nd absorption. The work divides naturally into two parts. Part I presents a summary of the fundamental theory of the radiation and propagation of rather general electromagnetic waves in causal, linear media which are homogeneous and isotropic but which otherwise have rather general dispersive and absorbing properties. In Part II, we specialize to the propagation of a plane, transient electromagnetic field in a homogeneous dielectric. Although we have made some contributions to the fundamental theory given in Part I, most of the results of our own research appear in Part II. The purpose of the theory presented in Part II is to predict and to explain in explicit detail the dynamics of the field after it has propagated far enough through the medium to be in the mature-dispersion regime. It is the subject of a classic theory, based on the research conducted by A. Sommerfeld and L.

Inverse Heat Transfer

Author : M. Necat Ozisik
Publisher : CRC Press
ISBN 13 : 9781560328384
Total Pages : 370 pages
Book Rating : 4.3/5 (283 download)

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Book Synopsis Inverse Heat Transfer by : M. Necat Ozisik

Download or read book Inverse Heat Transfer written by M. Necat Ozisik and published by CRC Press. This book was released on 2000-04-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the fundamental concepts of inverse heat transfer problems. It presents in detail the basic steps of four techniques of inverse heat transfer protocol, as a parameter estimation approach and as a function estimation approach. These techniques are then applied to the solution of the problems of practical engineering interest involving conduction, convection, and radiation. The text also introduces a formulation based on generalized coordinates for the solution of inverse heat conduction problems in two-dimensional regions.

Solving Direct and Inverse Heat Conduction Problems

Author : Jan Taler
Publisher : Springer Science & Business Media
ISBN 13 : 3540334718
Total Pages : 890 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Solving Direct and Inverse Heat Conduction Problems by : Jan Taler

Download or read book Solving Direct and Inverse Heat Conduction Problems written by Jan Taler and published by Springer Science & Business Media. This book was released on 2010-04-16 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a solution for direct and inverse heat conduction problems, discussing the theoretical basis for the heat transfer process and presenting selected theoretical and numerical problems in the form of exercises with solutions. The book covers one-, two- and three dimensional problems which are solved by using exact and approximate analytical methods and numerical methods. An accompanying CD-Rom includes computational solutions of the examples and extensive FORTRAN code.

Inverse Heat Conduction

Author : James V. Beck
Publisher : James Beck
ISBN 13 : 9780471083191
Total Pages : 336 pages
Book Rating : 4.0/5 (831 download)

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Book Synopsis Inverse Heat Conduction by : James V. Beck

Download or read book Inverse Heat Conduction written by James V. Beck and published by James Beck. This book was released on 1985-10-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is the only commercially published work to deal with the engineering problem of determining surface heat flux and temperature history based on interior temperature measurements. Provides the analytical techniques needed to arrive at otherwise difficult solutions, summarizing the findings of the last ten years. Topics include the steady state solution, Duhamel's Theorem, ill-posed problems, single future time step, and more.

Theory and Applications of Heat Transfer in Humans, 2 Volume Set

Author : Devashish Shrivastava
Publisher : John Wiley & Sons
ISBN 13 : 1119127300
Total Pages : 897 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Theory and Applications of Heat Transfer in Humans, 2 Volume Set by : Devashish Shrivastava

Download or read book Theory and Applications of Heat Transfer in Humans, 2 Volume Set written by Devashish Shrivastava and published by John Wiley & Sons. This book was released on 2018-07-02 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative guide to theory and applications of heat transfer in humans Theory and Applications of Heat Transfer in Humans 2V Set offers a reference to the field of heating and cooling of tissue, and associated damage. The author—a noted expert in the field—presents, in this book, the fundamental physics and physiology related to the field, along with some of the recent applications, all in one place, in such a way as to enable and enrich both beginner and advanced readers. The book provides a basic framework that can be used to obtain ‘decent’ estimates of tissue temperatures for various applications involving tissue heating and/or cooling, and also presents ways to further develop more complex methods, if needed, to obtain more accurate results. The book is arranged in three sections: The first section, named ‘Physics’, presents fundamental mathematical frameworks that can be used as is or combined together forming more complex tools to determine tissue temperatures; the second section, named ‘Physiology’, presents ideas and data that provide the basis for the physiological assumptions needed to develop successful mathematical tools; and finally, the third section, named ‘Applications’, presents examples of how the marriage of the first two sections are used to solve problems of today and tomorrow. This important text is the vital resource that: Offers a reference book in the field of heating and cooling of tissue, and associated damage. Provides a comprehensive theoretical and experimental basis with biomedical applications Shows how to develop and implement both, simple and complex mathematical models to predict tissue temperatures Includes simple examples and results so readers can use those results directly or adapt them for their applications Designed for students, engineers, and other professionals, a comprehensive text to the field of heating and cooling of tissue that includes proven theories with applications. The author reveals how to develop simple and complex mathematical models, to predict tissue heating and/or cooling, and associated damage.

Methods for Inverse Heat Conduction Problems

Author : Dinh Nho Hào
Publisher : Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Methods for Inverse Heat Conduction Problems by : Dinh Nho Hào

Download or read book Methods for Inverse Heat Conduction Problems written by Dinh Nho Hào and published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften. This book was released on 1998 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of determining the surface temperature and the surface heat flux, the capacity of the heat transfer coefficient from transient temperature measurements at one or more locations are frequently arising in many practical engineering contexts. These so-called inverse heat conduction problems (IHCPs) have been extensively studied over the last 30 years. This book starts with an up-to-date overview on the subject. It is mainly devoted to solvability criteria for IHCPs as well as efficient and stable solution methods like mollification methods, variational and iterative methods.

Thermal Measurements and Inverse Techniques

Author : Helcio R.B. Orlande
Publisher : CRC Press
ISBN 13 : 1439845565
Total Pages : 754 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Thermal Measurements and Inverse Techniques by : Helcio R.B. Orlande

Download or read book Thermal Measurements and Inverse Techniques written by Helcio R.B. Orlande and published by CRC Press. This book was released on 2011-05-24 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: With its uncommon presentation of instructional material regarding mathematical modeling, measurements, and solution of inverse problems, Thermal Measurements and Inverse Techniques is a one-stop reference for those dealing with various aspects of heat transfer. Progress in mathematical modeling of complex industrial and environmental systems has e

Inverse Problems with Applications in Science and Engineering

Author : Daniel Lesnic
Publisher : CRC Press
ISBN 13 : 0429683251
Total Pages : 360 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Inverse Problems with Applications in Science and Engineering by : Daniel Lesnic

Download or read book Inverse Problems with Applications in Science and Engineering written by Daniel Lesnic and published by CRC Press. This book was released on 2021-11-10 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by the advancement of industrial mathematics and the need for impact case studies, Inverse Problems with Applications in Science and Engineering thoroughly examines the state-of-the-art of some representative classes of inverse and ill-posed problems for partial differential equations (PDEs). The natural practical applications of this examination arise in heat transfer, electrostatics, porous media, acoustics, fluid and solid mechanics – all of which are addressed in this text. Features: Covers all types of PDEs — namely, elliptic (Laplace’s, Helmholtz, modified Helmholtz, biharmonic and Stokes), parabolic (heat, convection, reaction and diffusion) and hyperbolic (wave) Excellent reference for post-graduates and researchers in mathematics, engineering and any other scientific discipline that deals with inverse problems Contains both theory and numerical algorithms for solving all types of inverse and ill-posed problems

Inverse Heat Conduction and Heat Exchangers

Author : Suvanjan Bhattacharyya
Publisher : BoD – Books on Demand
ISBN 13 : 1789851777
Total Pages : 204 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Inverse Heat Conduction and Heat Exchangers by : Suvanjan Bhattacharyya

Download or read book Inverse Heat Conduction and Heat Exchangers written by Suvanjan Bhattacharyya and published by BoD – Books on Demand. This book was released on 2020-12-02 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A direct solution of the heat conduction equation with prescribed initial and boundary conditions yields temperature distribution inside a specimen. The direct solution is mathematically considered as a well-posed one because the solution exists, is unique, and continuously depends on input data. The estimation of unknown parameters from the measured temperature data is known as the inverse problem of heat conduction. An error in temperature measurement, thermal time lagging, thermocouple-cavity, or signal noise data makes stability a problem in the estimation of unknown parameters. The solution of the inverse problem can be obtained by employing the gradient or non-gradient based inverse algorithm. The aim of this book is to analyze the inverse problem and heat exchanger applications in the fields of aerospace, mechanical, applied mechanics, environment sciences, and engineering.

Inverse Engineering Handbook

Author : Keith A. Woodbury
Publisher : CRC Press
ISBN 13 : 1420041614
Total Pages : 481 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Inverse Engineering Handbook by : Keith A. Woodbury

Download or read book Inverse Engineering Handbook written by Keith A. Woodbury and published by CRC Press. This book was released on 2002-09-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems have been the focus of a growing number of research efforts over the last 40 years-and rightly so. The ability to determine a "cause" from an observed "effect" is a powerful one. Researchers now have at their disposal a variety of techniques for solving inverse problems, techniques that go well beyond those useful for relatively si

An Introduction to Inverse Problems with Applications

Author : Francisco Duarte Moura Neto
Publisher : Springer Science & Business Media
ISBN 13 : 3642325564
Total Pages : 255 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis An Introduction to Inverse Problems with Applications by : Francisco Duarte Moura Neto

Download or read book An Introduction to Inverse Problems with Applications written by Francisco Duarte Moura Neto and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational engineering/science uses a blend of applications, mathematical models and computations. Mathematical models require accurate approximations of their parameters, which are often viewed as solutions to inverse problems. Thus, the study of inverse problems is an integral part of computational engineering/science. This book presents several aspects of inverse problems along with needed prerequisite topics in numerical analysis and matrix algebra. If the reader has previously studied these prerequisites, then one can rapidly move to the inverse problems in chapters 4-8 on image restoration, thermal radiation, thermal characterization and heat transfer. “This text does provide a comprehensive introduction to inverse problems and fills a void in the literature”. Robert E White, Professor of Mathematics, North Carolina State University

Bayesian Approach to Inverse Problems

Author : Jérôme Idier
Publisher : John Wiley & Sons
ISBN 13 : 111862369X
Total Pages : 322 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Bayesian Approach to Inverse Problems by : Jérôme Idier

Download or read book Bayesian Approach to Inverse Problems written by Jérôme Idier and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or quantifying flaws or cracks within a material from acoustic or electromagnetic measurements at its surface is an essential problem of non-destructive evaluation. The concept of inverse problems precisely originates from the idea of inverting the laws of physics to recover a quantity of interest from measurable data. Unfortunately, most inverse problems are ill-posed, which means that precise and stable solutions are not easy to devise. Regularization is the key concept to solve inverse problems. The goal of this book is to deal with inverse problems and regularized solutions using the Bayesian statistical tools, with a particular view to signal and image estimation. The first three chapters bring the theoretical notions that make it possible to cast inverse problems within a mathematical framework. The next three chapters address the fundamental inverse problem of deconvolution in a comprehensive manner. Chapters 7 and 8 deal with advanced statistical questions linked to image estimation. In the last five chapters, the main tools introduced in the previous chapters are put into a practical context in important applicative areas, such as astronomy or medical imaging.

Finite Difference Methods in Heat Transfer

Author : M. Necati Özişik
Publisher : CRC Press
ISBN 13 : 1482243466
Total Pages : 580 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Finite Difference Methods in Heat Transfer by : M. Necati Özişik

Download or read book Finite Difference Methods in Heat Transfer written by M. Necati Özişik and published by CRC Press. This book was released on 2017-07-20 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering. Features Provides a self-contained approach in finite difference methods for students and professionals Covers the use of finite difference methods in convective, conductive, and radiative heat transfer Presents numerical solution techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical–numerical approaches

Linear and Nonlinear Inverse Problems with Practical Applications

Author : Jennifer L. Mueller
Publisher : SIAM
ISBN 13 : 1611972345
Total Pages : 349 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Linear and Nonlinear Inverse Problems with Practical Applications by : Jennifer L. Mueller

Download or read book Linear and Nonlinear Inverse Problems with Practical Applications written by Jennifer L. Mueller and published by SIAM. This book was released on 2012-11-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.

Heat Conduction

Author : M. Necati Özışık
Publisher : John Wiley & Sons
ISBN 13 : 9780471532569
Total Pages : 716 pages
Book Rating : 4.5/5 (325 download)

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Book Synopsis Heat Conduction by : M. Necati Özışık

Download or read book Heat Conduction written by M. Necati Özışık and published by John Wiley & Sons. This book was released on 1993-03-22 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Second Edition for the standard graduate level course in conduction heat transfer has been updated and oriented more to engineering applications partnered with real-world examples. New features include: numerous grid generation--for finding solutions by the finite element method--and recently developed inverse heat conduction. Every chapter and reference has been updated and new exercise problems replace the old.

Heat Conduction

Author : David W. Hahn
Publisher : John Wiley & Sons
ISBN 13 : 1118330110
Total Pages : 754 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Heat Conduction by : David W. Hahn

Download or read book Heat Conduction written by David W. Hahn and published by John Wiley & Sons. This book was released on 2012-08-20 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: HEAT CONDUCTION Mechanical Engineering THE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION Heat Conduction, Third Edition is an update of the classic text on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nanoscale heat transfer. With an emphasis on the mathematics and underlying physics, this new edition has considerable depth and analytical rigor, providing a systematic framework for each solution scheme with attention to boundary conditions and energy conservation. Chapter coverage includes: Heat conduction fundamentals Orthogonal functions, boundary value problems, and the Fourier Series The separation of variables in the rectangular coordinate system The separation of variables in the cylindrical coordinate system The separation of variables in the spherical coordinate system Solution of the heat equation for semi-infinite and infinite domains The use of Duhamel’s theorem The use of Green’s function for solution of heat conduction The use of the Laplace transform One-dimensional composite medium Moving heat source problems Phase-change problems Approximate analytic methods Integral-transform technique Heat conduction in anisotropic solids Introduction to microscale heat conduction In addition, new capstone examples are included in this edition and extensive problems, cases, and examples have been thoroughly updated. A solutions manual is also available. Heat Conduction is appropriate reading for students in mainstream courses of conduction heat transfer, students in mechanical engineering, and engineers in research and design functions throughout industry.

Recent Advances in Mechanical Infrastructure

Author : Ajit Kumar Parwani
Publisher : Springer Nature
ISBN 13 : 9813299711
Total Pages : 303 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Recent Advances in Mechanical Infrastructure by : Ajit Kumar Parwani

Download or read book Recent Advances in Mechanical Infrastructure written by Ajit Kumar Parwani and published by Springer Nature. This book was released on 2019-10-18 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains high quality papers presented in conference Recent Advances in Mechanical Infrastructure (ICRAM-2019) held at IITRAM, Ahmedabad, India from 20-21 April, 2019.The topics covered in this book are recent advances in thermal infrastructure, manufacturing infrastructure and infrastructure planning and design.